Consider the loaded shaft illustrated in Figure Q4 (i). Theshaft is simply supported at A and D. The shoulder filletradius is 0.3 cm at B and C.If the shaft is subjected to a force of F=800 N, determine thefollowing: (d)The stress concentration factor at shoulder fillet B.(e)The maximum stress in the shaft taking into account stressconcentrations.800 Nr = 0,3 cmA d, = 3 cmd2 = 5 cmd, 3 3 стBC5 ст8 cm8 ст12 cmFigure Q4 (i)The reference parameters are shown in Figure Q4 (ii) in thepage that follows. For 0.002 srld < 0.3 and 1.01 s Dlds 6.0,the stress concentration factor for bar bending is given as:kn-4.4= 0.632 + 0.37724|-0.14 – 0.363(P/a)+ 0.503(P/a)+ 3.368(P/a)241– 2.39(D/a)The nominal stress is:32Mnd³

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Answered: The stress concentration factor at…

The stress concentration factor at shoulder fillet B. The maximum stress in the shaft taking into account stress concentrations.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

Consider the loaded shaft illustrated in Figure Q4 (i). The
shaft is simply supported at A and D. The shoulder fillet
radius is 0.3 cm at B and C.
If the shaft is subjected to a force of F=800 N, determine the
following:

(d)
The stress concentration factor at shoulder fillet B.
(e)
The maximum stress in the shaft taking into account stress
concentrations.
800 N
r = 0,3 cm
A d, = 3 cm
d2 = 5 cm
d, 3 3 ст
B
C
5 ст
8 cm
8 ст
12 cm
Figure Q4 (i)
The reference parameters are shown in Figure Q4 (ii) in the
page that follows. For 0.002 srld < 0.3 and 1.01 s Dlds 6.0,
the stress concentration factor for bar bending is given as:
kn
-4.4
= 0.632 + 0.377
2
4
|-0.14 – 0.363(P/a)+ 0.503(P/a)
+ 3.368(P/a)
2
4
1– 2.39(D/a)
The nominal stress is:
32M
nd³

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